On the dynamics of shallow ice sheets. Modelling and analysis
Analysis of PDEs
2024-07-09 v4 Mathematical Physics
math.MP
Abstract
We formulate a model describing the evolution of thickness in a shallow ice sheet lying over a lithosphere. The model is thus governed by a set of variational inequalities that involve nonlinearities in the time derivative and in the elliptic term. Solutions are constructed via a finite difference scheme in time.
Keywords
Cite
@article{arxiv.2203.09097,
title = {On the dynamics of shallow ice sheets. Modelling and analysis},
author = {Paolo Piersanti and Roger Temam},
journal= {arXiv preprint arXiv:2203.09097},
year = {2024}
}